Hearing distributed mass in nanobeam resonators

Dilena, Michele; Dell’Oste, M. Fedele; Fernández-Sáez, J.; Morassi, Antonino; Zaera, R.

doi:10.1016/j.ijsolstr.2020.02.025

Cited by 22 publications

(7 citation statements)

References 26 publications

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“…In nanoscience and nanotechnology, frame-like structures have found a broad spectrum of novel applications such as atomic force microscopes [1][2], resonators [3][4], gyroscopes [5][6], actuators and sensors [7][8], auxetic metamaterials [9][10][11], and carbon nanotube networks [12][13].…”

Section: Introductionmentioning

confidence: 99%

Flexibility-based stress-driven nonlocal frame element: formulation and applications

Limkatanyu

Sae-Long

Sedighi

et al. 2022

Engineering with Computers

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Section: Introductionmentioning

confidence: 99%

Flexibility-based stress-driven nonlocal frame element: formulation and applications

Limkatanyu

Sae-Long

Sedighi

et al. 2022

Engineering with Computers

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“…Unfortunately, the transformation from the fixed system of Cartesian coordinates to the local system of coordinates on the boundary used in Papargyri-Beskou et al 37 (see eq. (25) in that paper) does not take into account of the possible variation of the local natural basis (n, t) in case of curved boundary (see Lemma 1). Here, the vectors n, t are the unit outer normal and the unit tangent to the boundary, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…Although most nanosensors are used for mass detection, 23–25 there is also considerable interest in force or pressure sensing. Their small size is essential for applications requiring high spatial resolution of pressure measurements, 26 permits integration with other sensors, 27 and shows reduced power consumption 28 .…”

Section: Introductionmentioning

confidence: 99%

Inverse load identification in vibrating nanoplates

Kawano

Morassi

Zaera

2022

Math Methods in App Sciences

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In this paper, we consider the uniqueness issue for the inverse problem of load identification in a nanoplate by dynamic measurements. Working in the framework of the strain gradient linear elasticity theory, we first deduce a Kirchhoff-Love nanoplate model, and we analyze the well-posedness of the equilibrium problem, clarifying the correct Neumann conditions on curved portions of the boundary. Our uniqueness result states that, given a transverse dynamic load ∑ M m=1 g m (t)𝑓 m (x), where M ≥ 1 and {g m (t)} M m=1 are known time-dependent functions, if the transverse displacement of the nanoplate is known in an open subset of its domain for any interval of time, then the spatial components {𝑓 m (x)} M m=1 can be determined uniquely from the data. The proof is based on the spherical means method. The uniqueness result suggests a reconstruction technique to approximate the loads, as confirmed by a series of numerical simulations performed on a rectangular clamped nanoplate.

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“…Micro-/nano-sensors are one of the representative elements of micro-/nanoelectromechanical systems (MEMS/NEMS) that found a variety of applications in pioneering engineering systems [1,2]. Structural analysis of vibrating modules of MEMS/NEMS is a challenging issue that stimulated a great deal of interest [3][4][5][6][7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Characteristics of Mixture Unified Gradient Elastic Nanobeams

Faghidian

Tounsi

2022

FU Mech Eng

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The mixture unified gradient theory of elasticity is invoked for the rigorous analysis of the dynamic characteristics of elastic nanobeams. A consistent variational framework is established and the boundary-value problem of dynamic equilibrium enriched with proper form of the extra non-standard boundary conditions is detected. As a well-established privilege of the stationary variational theorems, the constitutive laws of the resultant fields cast as differential relations. The wave dispersion response of elastic nano-sized beams is analytically addressed and the closed form solution of the phase velocity is determined. The free vibrations of the mixture unified gradient elastic beam is, furthermore, analytically studied. The dynamic characteristics of elastic nanobeams is numerically evaluated, graphically illustrated, and commented upon. The efficacy of the established augmented elasticity theory in realizing the softening and stiffening responses of nano-sized beams is evinced. New numerical benchmark is detected for dynamic analysis of elastic nanobeams. The established mixture unified gradient elasticity model provides a practical approach to tackle dynamics of nano-structures in pioneering MEMS/NEMS.

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Hearing distributed mass in nanobeam resonators

Cited by 22 publications

References 26 publications

Flexibility-based stress-driven nonlocal frame element: formulation and applications

Flexibility-based stress-driven nonlocal frame element: formulation and applications

Inverse load identification in vibrating nanoplates

Dynamic Characteristics of Mixture Unified Gradient Elastic Nanobeams

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